{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparing FITC approximation to VFE approximation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T12:29:26.468064Z",
     "start_time": "2018-06-19T12:29:25.451449Z"
    }
   },
   "outputs": [],
   "source": [
    "import gpflow\n",
    "from gpflow.test_util import notebook_niter  # to speed up automated testing of this notebook\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "from FITCvsVFE import (getTrainingTestData, printModelParameters, plotPredictions,\n",
    "                       repeatMinimization, stretch, plotComparisonFigure)\n",
    "\n",
    "import logging\n",
    "logging.disable(logging.WARN)  # do not clutter up the notebook with optimisation warnings"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We first load the training data and plot it together with the exact GP solution (`GPR`):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T12:29:26.473571Z",
     "start_time": "2018-06-19T12:29:26.469225Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Exact model parameters:\n",
      "  Likelihood variance = 0.074285\n",
      "  Kernel variance     = 0.90049\n",
      "  Kernel lengthscale  = 0.5825\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Load the training data:\n",
    "xtrain, ytrain, xtest, ytest = getTrainingTestData()\n",
    "\n",
    "def getKernel():\n",
    "    return gpflow.kernels.SquaredExponential(input_dim=1)\n",
    "\n",
    "# Run exact inference on training data:\n",
    "exact_model = gpflow.models.GPR(xtrain, ytrain, kern=getKernel())\n",
    "\n",
    "opt = gpflow.train.ScipyOptimizer(tol=1e-11)\n",
    "opt.minimize(exact_model, maxiter=notebook_niter(2000000))\n",
    "\n",
    "print(\"Exact model parameters:\")\n",
    "printModelParameters(exact_model)\n",
    "\n",
    "figA, ax = plt.subplots(1,1)\n",
    "ax.plot(xtrain, ytrain, 'ro')\n",
    "plotPredictions(ax, exact_model, color='g')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def initializeHyperparametersFromExactSolution(sparse_model):\n",
    "    sparse_model.likelihood.variance = exact_model.likelihood.variance.read_value().copy()\n",
    "    sparse_model.kern.variance = exact_model.kern.variance.read_value().copy()\n",
    "    sparse_model.kern.lengthscales = exact_model.kern.lengthscales.read_value().copy()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now construct two sparse model using the VFE (`SGPR`) and FITC (`GPRFITC`) optimisation objectives, with the inducing points being initialised on top of the training inputs, and the model hyperparameters (kernel variance and lengthscales and likelihood variance) initialized to the value obtained in the optimisation of the exact `GPR` model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T12:30:35.974909Z",
     "start_time": "2018-06-19T12:29:27.045294Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sparse model parameters after VFE optimization:\n",
      "  Likelihood variance = 0.074286\n",
      "  Kernel variance     = 0.90049\n",
      "  Kernel lengthscale  = 0.5825\n"
     ]
    }
   ],
   "source": [
    "# Train VFE model initialized from the perfect solution.\n",
    "VFEmodel = gpflow.models.SGPR(xtrain, ytrain, kern=getKernel(), Z=xtrain.copy())\n",
    " \n",
    "initializeHyperparametersFromExactSolution(VFEmodel)\n",
    "\n",
    "VFEcb = repeatMinimization(VFEmodel, xtest, ytest)  # optimise with several restarts\n",
    "print(\"Sparse model parameters after VFE optimization:\")\n",
    "printModelParameters(VFEmodel)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T12:33:50.544270Z",
     "start_time": "2018-06-19T12:30:35.976941Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sparse model parameters after FITC optimization:\n",
      "  Likelihood variance = 0.019311\n",
      "  Kernel variance     = 1.3256\n",
      "  Kernel lengthscale  = 0.61747\n"
     ]
    }
   ],
   "source": [
    "# Train FITC model initialized from the perfect solution.\n",
    "FITCmodel = gpflow.models.GPRFITC(xtrain, ytrain, kern=getKernel(), Z=xtrain.copy())\n",
    "\n",
    "initializeHyperparametersFromExactSolution(FITCmodel)\n",
    "\n",
    "FITCcb = repeatMinimization(FITCmodel, xtest, ytest)  # optimise with several restarts\n",
    "print(\"Sparse model parameters after FITC optimization:\")\n",
    "printModelParameters(FITCmodel)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plotting a comparison of the two algorithms, we see that VFE stays at the optimum of exact GPR, whereas the FITC approximation eventually ends up with several inducing points on top of each other, and a worse fit:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-06-19T12:33:51.300780Z",
     "start_time": "2018-06-19T12:33:50.546366Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x1152 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "figB, axes = plt.subplots(3, 2, figsize=(20, 16))\n",
    "\n",
    "# VFE optimisation finishes after 10 iterations, so we stretch out the training and test\n",
    "# log-likelihood traces to make them comparable against FITC:\n",
    "VFEiters = FITCcb.n_iters\n",
    "VFElog_likelihoods = stretch(len(VFEiters), VFEcb.log_likelihoods)\n",
    "VFEhold_out_likelihood = stretch(len(VFEiters), VFEcb.hold_out_likelihood)\n",
    "\n",
    "axes[0,0].set_title('VFE', loc='center', fontdict = {'fontsize': 22})\n",
    "plotComparisonFigure(xtrain, VFEmodel, exact_model, axes[0,0], axes[1,0], axes[2,0],\n",
    "                     VFEiters, VFElog_likelihoods, VFEhold_out_likelihood)\n",
    "\n",
    "axes[0,1].set_title('FITC', loc='center', fontdict = {'fontsize': 22})\n",
    "plotComparisonFigure(xtrain, FITCmodel, exact_model, axes[0,1], axes[1,1], axes[2,1],\n",
    "                     FITCcb.n_iters, FITCcb.log_likelihoods, FITCcb.hold_out_likelihood)"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
